Suppose you have a non-standard poker deck. The deck has 100 cards: 10 Aces, 10 2's, 10 3's, 10 4's, 10 5's, 10 6's, 10 7's, 10 8's, 10 9's, and 10 10's. Suppose the deck is well-shuffled. What is the probability that the top six cards of the deck are all of different types (thus, for example, at most one of those cards is an ace, at most one is a 2, etc.)